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If 1 divided by 3x is equal to 4 divided by 7y, which of the following expresses x in terms of y?

User Dmajkic
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2 Answers

4 votes

Answer:

x=7y/12

Step-by-step explanation:

Given:

1/3x=4/7y

According to the proportion property:

3x*4=7y*1

12x=7y

x=7y/12

If 1 divided by 3x is equal to 4 divided by 7y, which of the following expresses x-example-1
User Vardhan
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6.7k points
6 votes

x = (7y/4) / (3/1) = 7y/3

If 1 divided by 3x is equal to 4 divided by 7y, then we can cross-multiply and set the two expressions equal to each other:

1 = 4(3x) / 7y

To solve for x in terms of y, we can then multiply both sides of the equation by 7y and divide by 4:

7y = 4(3x)

y = 3x / 4

Therefore, x is expressed in terms of y as 3x/4. This is because we have used the property of equation, which is cross multiplying and dividing by a common factor to get the variable we want to express in terms of the other variable.

User Alongkorn
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7.7k points